Prime p₀= 1144211399621961719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 124 2 10 2 40 2 94 2 130 2 (?)
a_n: 0 2 42 44 168 170 180 182 222 224 318 320 450 452
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 452
Found by: Theadalus
db: batch=76, k=14, 40 124 10 40 94 130

SPT(16)	1144210074234054253	0 4 28 118 138 144 184 196 228 240 280 286 306 396 420 424	-1325387907466
SPT(16)	1144210117577901553	0 6 34 54 58 64 70 90 154 174 180 186 190 210 238 244	-1282044060166
STPT(10)	1144210465823328599	0 2 48 50 90 92 132 134 180 182	-933798633120
SPT(16)	1144210881666602261	0 50 66 102 122 140 180 218 270 308 348 366 386 422 438 488	-517955359458
TPT(14)	1144211216561396981	0 2 18 20 48 50 60 62 126 128 138 140 156 158	-183060564738
TPT(14)	1144211344160135387	0 2 42 44 90 92 162 164 180 182 204 206 210 212	-55461826332
SPT(16)	1144211644150409119	0 10 18 60 70 82 108 112 150 154 180 192 202 244 252 262	244528447400
SPT(16)	1144212333869785513	0 6 40 90 120 160 166 186 190 210 216 256 286 336 370 376	934247823794
SPT(16)	1144212477786687889	0 28 54 72 90 130 142 172 180 210 222 262 280 298 324 352	1078164726170
STPT(10)	1144212506385462287	0 2 42 44 72 74 102 104 144 146	1106763500568
STPT(10)	1144212983845786427	0 2 24 26 42 44 60 62 84 86	1584223824708